Discrete Maths Partial ordered set

Question

[D6 , / ] is a poset ?

Answer 1

YES, it is a POSET

POSET = Reflexive, Antisymmetric, Transitive

D6 = {1,2,3,6}

Reflexivity: Every element in the set of D6 can divide it self, Thus it’s reflexive.

Antisymmetric: No two numbers can divide each other unless they are the same number, Thus it’s Antisymmetric

Transitivity: If ‘$a$ divides $b$’ and ‘$b$ divides $c$’ then $a$ will surely divide $c$, Thus it’s Transitive